7980144744 has 256 divisors, whose sum is σ = 24455208960. Its totient is φ = 2136960000.

The previous prime is 7980144611. The next prime is 7980144749. The reversal of 7980144744 is 4474410897.

It is a junction number, because it is equal to n+sod(n) for n = 7980144693 and 7980144702.

It is not an unprimeable number, because it can be changed into a prime (7980144749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11383594 + ... + 11384294.

It is an arithmetic number, because the mean of its divisors is an integer number (95528160).

Almost surely, 2^7980144744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7980144744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227604480).

7980144744 is an abundant number, since it is smaller than the sum of its proper divisors (16475064216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7980144744 is a wasteful number, since it uses less digits than its factorization.

7980144744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 7980144744 is about 89331.6558897237. The cubic root of 7980144744 is about 1998.3440245845.

The spelling of 7980144744 in words is "seven billion, nine hundred eighty million, one hundred forty-four thousand, seven hundred forty-four".